4 papers
A new Geometric Setting for the Analysis of Partial Differential Equations
Ambroise Soglo, Koffi W. Houédanou, Jamal Adetola +1
In this paper, we introduce a hybrid metric geometry on the space of absolutely continuous probability densities that combines optimal transport (Wasserstein geometry) and log-rati…
Variable Exponent Wasserstein Spaces: Stability of Entropy Convexity and Modified Rényi Entropy
Ambroise Soglo, Cyrille Combété, Koffi Wilfrid Houédanou +1
We study the Wasserstein space equipped with a distance $\Wp$ constructed from the Lagrangian where with …
Error Analysis for a Nonconforming Finite Element Discretization of the 3D-CCPF Model
Clément Adandé, Koffi W. Houédanou, Guy A. Dègla
This paper presents an a-priori and a-posteriori error analysis for the time-dependent case of a coupled continuum pipe-fow in three dimensions on anisotropic meshes (i.e. elements…
Learning on the Temporal Tangent Bundle for Physics-Informed Neural Networks
Adetola Jamal, Mamlankou Charbel, Houédanou Koffi Wilfrid +1
This paper addresses the limitations of Physics-Informed Neural Networks for time-dependent problems by introducing a tangent bundle learning framework. Instead of directly approxi…